Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice.

J. Ch Anglès d'Auriac, F. Iglói

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

Abstract

We study the critical behavior of the random q-state Potts model in the large-q limit on the diamond hierarchical lattice with an effective dimensionality d(eff)>2. By varying the temperature and the strength of the frustration the system has a phase transition line between the paramagnetic and the ferromagnetic phases which is controlled by four different fixed points. According to our renormalization group study the phase boundary in the vicinity of the multicritical point is self-similar; it is well represented by a logarithmic spiral. We expect an infinite number of reentrances in the thermodynamic limit; consequently one cannot define standard thermodynamic phases in this region.

Original languageEnglish
Title of host publicationPhysical review. E, Statistical, nonlinear, and soft matter physics
Pages22103
Number of pages1
Volume87
Edition2
DOIs
Publication statusPublished - 2013

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Thermodynamics
Diamond
Frustration
Phase Transition
Temperature

ASJC Scopus subject areas

  • Medicine(all)

Cite this

Anglès d'Auriac, J. C., & Iglói, F. (2013). Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice. In Physical review. E, Statistical, nonlinear, and soft matter physics (2 ed., Vol. 87, pp. 22103) https://doi.org/10.1103/PhysRevE.87.022103

Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice. / Anglès d'Auriac, J. Ch; Iglói, F.

Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87 2. ed. 2013. p. 22103.

Research output: Chapter in Book/Report/Conference proceedingChapter

Anglès d'Auriac, JC & Iglói, F 2013, Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice. in Physical review. E, Statistical, nonlinear, and soft matter physics. 2 edn, vol. 87, pp. 22103. https://doi.org/10.1103/PhysRevE.87.022103
Anglès d'Auriac JC, Iglói F. Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice. In Physical review. E, Statistical, nonlinear, and soft matter physics. 2 ed. Vol. 87. 2013. p. 22103 https://doi.org/10.1103/PhysRevE.87.022103
Anglès d'Auriac, J. Ch ; Iglói, F. / Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice. Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87 2. ed. 2013. pp. 22103
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